Fractal Time Theory — Prediction Reference and Technical Appendices BL-BP: Quark Masses, Wheeler-DeWitt, Gauge Emergence, Galactic Dynamics and Uncertainties

This deposit gathers the Prediction Reference Document of the Fractal Time Theory (FTT) along with five technical appendices (BL through BP) covering major theoretical developments. The FTT is a quantum gravity approach based on a single geometric parameter — the Hausdorff dimension dH = 3/π² ≈ 0. 304 — derived ab initio from a coherence equation that selects N = 4 spacetime dimensions. The Reference Document compiles all 48 numerical predictions of the FTT with their theoretical error bars and experimental comparisons. The global χ² is 4. 2 for 12 degrees of freedom (p > 0. 98), spanning particle physics (fine structure constant α⁻¹ = 137. 04 ± 2. 7, Weinberg angle, boson and fermion masses), cosmology (dark matter ΩDM = 0. 264, dark energy equation of state w = −0. 97, spectral index ns = 0. 965), and galactic dynamics. Appendix BL establishes a unique hierarchical selection principle for the six quark masses: each fermion generation couples to a distinct level of the fractal substrate (fundamental, dimensional, spectral), with isospin determining the specific coupling mode. This principle unifies six previously separate formulas under a coherent algebraic structure derived from the sequential symmetry breaking of the substrate. Appendix BM presents the exact solution of the Wheeler-DeWitt equation modified by fractal geometry. The fractal potential creates an infinite barrier at a = 0, eliminating the Big Bang singularity. The solution is expressed in generalized Laguerre polynomials, predicts a cosmic bounce at a calculable scale (amin ≈ 10⁻¹² m), and yields a quantized energy spectrum whose ground state contributes to the cosmological constant. Appendix BN derives the Standard Model gauge group SU (3) ×SU (2) ×U (1) from the compactification of an 11D space on a fractal G₂ manifold. SU (3) emerges as the maximal subgroup of G₂, SU (2) from A₁ singularities, and U (1) from topology (b₁ = 1). Coupling constants are determined by the fractal volumes of the corresponding cycles, and supersymmetry is broken at MSUSY ≈ 10¹⁸ GeV. Appendix BO derives galactic rotation curves from the fractal structure of the substrate, without particulate dark matter. The effective space dimension dₑff (r) = 3 − dH × f (r/rc) produces a cored density profile that naturally resolves the cusp-core problem, and the baryonic Tully-Fisher relation M ∝ v⁴ emerges with the characteristic acceleration a₀ = c × H₀ × dH ≈ 1. 2 × 10⁻¹⁰ m/s² derived rather than postulated. Appendix BP rigorously quantifies the propagation of theoretical uncertainties. The uncertainty on dH is estimated at δdH/dH ≈ 1%, propagating to observables with logarithmic sensitivities ranging from 0. 5 (mH/mZ) to 10 (w). Four "fortuitously good" agreements are identified (Δm (n-p), Koide Q, α⁻¹, ms) and should not be overinterpreted. Six testable predictions within the 2025-2035 window are formulated, including Σmν = 58. 2 ± 0. 6 meV (CMB-S4), w = −0. 97 ± 0. 03 (DESI/Euclid), and a blue-tilted primordial gravitational wave spectrum (nt > 0).